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Finding the Fourth Proportional to 205,702.86, 283,896.24 and 115,063.86

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Solution

The fourth proportional to 205,702.86, 283,896.24 and 115,063.86 is: 158,802.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,702.86 : 283,896.24 = 115,063.86 : x
  2. Step 2: Convert to fraction form
    205,702.86/283,896.24 = 115,063.86/x
  3. Step 3: Cross multiply
    205,702.86x = 283,896.24 × 115,063.86
  4. Step 4: Simplify right side
    205,702.86x = 32,666,197,213.89
  5. Step 5: Solve for x
    x = 32,666,197,213.89/205,702.86
  6. Step 6: Final answer
    x = 158,802.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.